W-translated Schubert divisors and transversal intersections
- 주제(키워드) 14M15 , 14M25 , 14N15 , flag varieties , Gelfand-Cetlin polytope , toric degeneration , transversal intersection , W-translated Schubert varieties
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 All Open Access, Bronze, Green
- 발행기관 Science Press (China)
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000193513
- 본문언어 영어
- Published As https://doi.org/10.1007/s11425-021-1940-6
초록/요약
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety Fℓn1,…,nk;n via Gelfand-Cetlin polytopes. We propose a conjecture that Schubert varieties of appropriate dimensions intersect transversally up to translation by Weyl group elements, and verify it in various cases, including the complex Grassmannian Gr(2, n) and the complete flag variety Fℓ1,2,3,4. © 2022, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.
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